The universal n-pointed surface bundle only has n sections

DOI10.1142/S1793525319500134zbMath1435.57011arXiv1611.04624MaRDI QIDQ4968727

Lei Chen

Publication date: 9 July 2019

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.04624

zbMATH Keywords

configuration spacesectionsmapping class group

Mathematics Subject Classification ID

Discriminantal varieties and configuration spaces in algebraic topology (55R80) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20) Teichmüller theory; moduli spaces of holomorphic dynamical systems (37F34)

Related Items (5)

On surjective homomorphisms from a configuration space group to a surface group ⋮ Section problems for configuration spaces of surfaces ⋮ The number of fiberings of a surface bundle over a surface ⋮ The universal surface bundle over the Torelli space has no sections ⋮ Surjective homomorphisms between surface braid groups

Cites Work

• Unnamed Item
• The level four braid group
• Cup products, the Johnson homomorphism and surface bundles over surfaces with multiple fiberings
• On sections of some holomorphic families of closed Riemann surfaces
• A rigidity theorem for group extensions
• Configuration spaces of algebraic varieties
• Homomorphisms between mapping class groups
• On the sections of universal hyperelliptic curves
• Surjective homomorphisms between surface braid groups
• Characteristic Classes. (AM-76)
• The diffeomorphism group of a compact Riemann surface

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